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Home > Dictionary of Science Quotations > Scientist Names Index C > Thomas Craig Quotes

Thomas Craig
(20 Dec 1855 - 8 May 1900)

American mathematician who first trained as a civil engineer but turned to a career in mathematics. He was one of the first to receive (1878) a Ph.D. degree from Johns Hopkins University, by which time he was already lecturing there. Craig rose from being a contributor to the American Journal of Mathematics to being its editor (1894-1899).

Science Quotes by Thomas Craig (1 quote)

The origin of a science is usually to be sought for not in any systematic treatise, but in the investigation and solution of some particular problem. This is especially the case in the ordinary history of the great improvements in any department of mathematical science. Some problem, mathematical or physical, is proposed, which is found to be insoluble by known methods. This condition of insolubility may arise from one of two causes: Either there exists no machinery powerful enough to effect the required reduction, or the workmen are not sufficiently expert to employ their tools in the performance of an entirely new piece of work. The problem proposed is, however, finally solved, and in its solution some new principle, or new application of old principles, is necessarily introduced. If a principle is brought to light it is soon found that in its application it is not necessarily limited to the particular question which occasioned its discovery, and it is then stated in an abstract form and applied to problems of gradually increasing generality.
Other principles, similar in their nature, are added, and the original principle itself receives such modifications and extensions as are from time to time deemed necessary. The same is true of new applications of old principles; the application is first thought to be merely confined to a particular problem, but it is soon recognized that this problem is but one, and generally a very simple one, out of a large class, to which the same process of investigation and solution are applicable. The result in both of these cases is the same. A time comes when these several problems, solutions, and principles are grouped together and found to produce an entirely new and consistent method; a nomenclature and uniform system of notation is adopted, and the principles of the new method become entitled to rank as a distinct science.
— Thomas Craig
In A Treatise on Projections (1880), Introduction, xi. Published as United States Coast and Geodetic Survey, Treasury Department Document, No. 61.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
Quotations by: Albert Einstein Isaac Newton Lord Kelvin Charles Darwin Srinivasa Ramanujan Carl Sagan Florence Nightingale Thomas Edison Aristotle Marie Curie Benjamin Franklin Winston Churchill Galileo Galilei Sigmund Freud Robert Bunsen Louis Pasteur Theodore Roosevelt Abraham Lincoln Ronald Reagan Leonardo DaVinci Michio Kaku Karl Popper Johann Goethe Robert Oppenheimer Charles Kettering  ... (more people)

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Marcel Proust
William Harvey
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- 90 -
Antoine Lavoisier
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Charles Babbage
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Andre Ampere
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- 80 -
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Bible
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- 70 -
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- 60 -
Francis Galton
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- 50 -
Stephen Hawking
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- 40 -
Pierre Fermat
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Archimedes
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- 30 -
Andreas Vesalius
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- 20 -
Carl Sagan
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- 10 -
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John Watson
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